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Popular >

7=|3x+9|+7

Solution

7 = ∣ 3 x + 9 ∣ + 7

Solution

x = - 3

Solution steps

7 = ∣ 3 x + 9 ∣ + 7

Subtract

7

from both sides

7 - 7 = ∣ 3 x + 9 ∣ + 7 - 7

Simplify

0 = ∣ 3 x + 9 ∣

Switch sides

∣ 3 x + 9 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x + 9 = 0

3 x + 9 = 0 : x = - 3

x = - 3

Popular Examples

\frac{1}{2} ∣ x - 9 ∣ = 16

- 12 ∣ 9 x + 1 ∣ = 144

∣ 7 x + 5 ∣ 6 - 4 x + 2 = 0

∣ 1 - 3 x ∣ + x = 0

∣ - 4 n - 7 ∣ + 15 = 24

Frequently Asked Questions (FAQ)

What is the answer to 7=|3x+9|+7 ?
The answer to 7=|3x+9|+7 is x=-3
Solve for x: 7=|3x+9|+7
The solution is x=-3